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Finding the Third Proportional to 124,499 and 187,100

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Solution

The third proportional to 124,499 and 187,100 is: 281,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,499 : 187,100 = 187,100 : x
  2. Step 2: Convert to fraction form
    124,499/187,100 = 187,100/x
  3. Step 3: Cross multiply
    124,499x = 187,100 × 187,100
  4. Step 4: Simplify right side
    124,499x = 35,006,410,000
  5. Step 5: Solve for x
    x = 35,006,410,000/124,499
  6. Step 6: Final answer
    x = 281,178.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.